In order to factorize the expression x

Then, x

= x

= x(x + a) + b(x + a)

= (x + a)(x + b) which are the required factors.

Solved examples to factorize the trinomial x square plus px plus q (x^2 + px + q):

**1. Resolve into factors:**

The given expression is x

Find two numbers whose sum = 3 and product = - 28.

Clearly, the numbers are 7 and -4.

Therefore, x

= x(x
+ 7) - 4(x + 7).

= (x +
7)(x - 4).

The given expression is x

Find two numbers whose sum = 8 and product = 15.

Clearly, the numbers are 5 and 3.

Therefore, x

= x(x
+ 5) + 3(x + 5).

= (x +
5)(x + 3).

**2.
Factorize the trinomial:**

The given expression is x

Find two numbers whose sum = 15 and product = 56.

Clearly, such numbers are 8 and 7.

Therefore, x

= x(x
+ 8) + 7(x + 8)

= (x +
8)(x + 7).

The given expression is x

Find two numbers whose sum = 1 and product = - 56.

Clearly, such numbers are 8 and - 7.

Therefore, x

= x(x
+ 8) - 7(x + 8)

= (x +
8)(x - 7).

**8th Grade Math Practice**

**From Factorize the Trinomial x Square Plus px Plus q to HOME PAGE**

**Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.**

## New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.